Spike Lee will throw a fund-raising dinner for President Obama in New York on Jan. 19, Page Six has learned. The film-maker, who has been both supportive and critical of Obama’s presidency, and wife TonyaLewis Lee will host the commander-in-chief at their Upper East Side brownstone with an intimate 6 p.m. reception for 60 guests paying $38,500 per head or $71,600 per couple, and have stipulated the event will be “no more than six tables and 60 people.” It won’t be Obama’s only stop in the city that day. His fundraising will begin late afternoon at four-star restaurant Daniel on the Upper East Side for a discussion with leaders in the Jewish community organized by Dr. Daniel E. Fass and Alexandra Stanton, among others. Tickets cost $25,000 for an Obama-greet and photos or $5,000 for a regular ticket. Also at Daniel, scheduled for the same time, is a small cocktail reception with the president at $15,000 per ticket, including candid photos. Invitees can become hosts if they sell five tickets for $75,000. A source told us, “Daniel has hosted so many fund-raisers for Obama, it has become New York’s official Democratic dining room.” The White House didn’t comment last night.